The 65 students in a classical music lecture class were polled, with the following results: 36 like Wolfgang Amadeus Mozart 37 like Ludwig van Beethoven 32 like Franz Joseph Haydn 14 like Mozart and Beethoven 20 like Mozart and Haydn 15 like Beethoven and Haydn 8 like all three composers. How many of these students like:________.
a. exactly two of these composers?
b. exactly one of these composers?
c. like only Mozart?
d. like haydn and exactly one of the other two?
e. like none of these composers?

Answers

Answer 1

The following are the solutions for the student data:

a. 25 students like exactly two of the composers

b. 31 students like exactly one these composers

c. 10 students like only Mozart

d. 19 students like haydn and exactly one of the other two composers

e. Only one student like none of these composers.

What is Venn diagram

Venn diagrams are commonly used in mathematics, statistics, and logic to illustrate relationships between sets of data. It consists of circles that overlap to show the similarities and differences between the sets like in the case of students data.

Students who like:

All three composers = 8

Only Mozart and Beethoven = 14 - 8 = 6

Only Mozart and Haydn = 20 - 8 = 12

Only Beethoven and Haydn = 15 - 8 = 7

Only Mozart = 36 - (6 + 12 + 8) = 10

Only Beethoven = 37 - (6 + 7 + 8) = 16

Only Haydn = 32 - (12 + 7 + 8) = 5

Students who like none of the composers:

65 - (10 + 16 + 5 + 12 + 6 + 7 + 8)

65 - 64 = 1

Therefore, students who like:

exactly two of the composers = 12 + 6 7 = 25 students

exactly one these composers = 10 + 16 + 5 = 31 students

only Mozart = 10 students

Haydn and exactly one of the other two composers = 12 + 7 = 19 students

none of the composers = 1 student

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Related Questions

lil fun for yall
what is the answer to this step by step?

Answers

Answer:

194332.125 is the amount of interest

Step-by-step explanation:

Enter the value of 21 + (-3) - (-0.9).
PLSS

Answers

Answer:

18.9

Step-by-step explanation:

21+(-3)-(-0.9) = 21-3+0.9 = 18+0.9 = 18.9

7 - 14 - (-7) = 7 + (-14) +

Answers

Answer:

7 + (-14) + (7)

Step-by-step explanation:

7 - 14 - (-7) =

Subtracting is like adding a negative and subtracting a negative is like adding a postive

7 + (-14) + (7)

Find the area of this circle. Use
3.14 for a
68 mm
The area of the circle is about mm?
(Round to the nearest hundredth as needed.)

Answers

Answer:

(3.14)(68)^2=14519.40mm^2      if 68mm is the radius

Step-by-step explanation:

HELP WILLING TO CASHAPP if answered quick and correctly + 100 points The points plotted below on the graph of a polynomial which of the following X values is the best approximation of a root of the polynomial? Check all that apply
X=-0.21
X=-4.6
X=-2.3
X=3
X=1
X=-3.5

Answers

first 1

4th one

i think sorry if its wrong

Answer:

Step-by-step explanation:

Did you ever find out the answer????

The school sold 300 tickets to the theatre performance. They sold adult tickets for $9 each and student tickets for $6 each. They made a total of $2, 190. How many students were in attendance?
I need help please, I need to show work and it is due tonight.

Answers

Answer:

Your answer is.....

170 students

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x = 22.1°

Step-by-step explanation:

Angle ∠A = 41.124° = 41°7'26" = 0.71775 rad

Angle ∠B = 22.075° = 22°4'31" = 0.38528 rad

Angle ∠C = 116.801° = 116°48'4" = 2.03856 rad

(0) A baker puts 10 kg of sugar equally into 8 bags. How much sugar is there in
each bag?​

Answers

Answer:

1.25 kg of sugar in each bag

Step-by-step explanation:

10/8 = 1.25

Please give a 5 star rating if this helped!

I need the answer ASAP

1. In the figure, x is an exterior angle to the triangle below.

(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m

Answers

Answer:

109 is the correct answer of this question

cathe scores 15 points fewer than charles who scores 35 points. Karla scores half as many poinst as Cathe. How many points does charles score?​

Answers

Answer:

Your answer is.....

Cathe score = 20 points

Charles score = 35 points

Karla score = 10 points And

I score = 5 points

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

V100 is rational or irrational?​

Answers

Answer:

V100 is irrational I think

Step-by-step explanation:

What is the value of
y in the equation?
2y - 3/3 - 3= 2y/5

Answers

Answer:

Solve for  y  by simplifying both sides of the equation, then isolating the variable.

Exact Form:

y  =  5 /2

Decimal Form:

y  =  2.5

Mixed Number Form:

y  =  2  and 1 /2

Step-by-step explanation:

Hope this helps! Have a great day!

Answer:

Solve for  y  by simplifying both sides of the equation, then isolating the variable.  

y  =  2  and 1 /2

Step-by-step explanation:

Hope I helped! Check out my profile and give a "thanks" for more answers!

Mia and her friends are planning a trip to the movies. They can go to the movies on Friday, Saturday, or Sunday, and there are 10 different movies at the theater. Which expression represents the number of different combinations of day and movie Mia and her friends can choose?

Answers

Answer:

30

Step-by-step explanation:

There are 3 days, and 10 movies.

3 x 10 = 30

The points (2, 8) and (1, 2) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer:

y = 6x - 4

Step-by-step explanation:

(2, 8) & (1, 2)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(2 - 8) / (1 - 2)

Simplify the parentheses.

= (-6) / (-1)

Simplify the fraction.

-6/-1

= 6

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 6x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 6(1) + b

To find b, multiply the slope and the input of x(1)

2 = 6 + b

Now, subtract 6 from both sides to isolate b.

-4 = b

Plug this into your standard equation.

y = 6x - 4

This is your equation.

Check this by plugging in the other point you have not checked yet (2, 8).

y = 6x - 4

8 = 6(2) - 4

8 = 12 - 4

8 = 8

Your equation is correct.

Hope this helps!

In 2002, the population of a town was approximately 34,050. In 2012,
the population of the town had increased to approximately 56,800. Based
on a linear model, what will be the approximate population of the town
in 2020?
Answer choices
A. 52,250
B. 75,000
C. 79,550
D. 99,850

Answers

it’s D
hope that helps

Bütünler iki açıdan büyük olanın ölçüsü küçük olanın ölçüsünün 4 katından 10°eksiktir. Buna göre büyük açı kaç derecedir?​

Answers

Answer:

Step-by-step explanation:

x+y = 360

y = 360-x

x = 4y-10

x = 4(360-x)-10

x = 1440-4x-10

5x = 1430

x = 286°

Answer:34

Step-by-step explanation:

find the sum:
4/100 + 6/10

Answers

Hello there, and welcome to Brainly!

In the following, you are adding the fractions together. Remember that, when adding or subtracting fractions, the denominator (bottom number in the fraction) must be the same. What you do to the denominator, you must do to the numerator as well.

Multiply 10 to both the numerator and denominator of the second fraction:

(6/10) * (10/10) = 60/100

Add across:

4/100 + 60/100 = 64/100

64/100 is your answer.

~

Find the slope of the line

Answers

Answer:

Unrefined

Step-by-step explanation:

If the line is straight, that means it's undefined

What is the value of the expression 5x – x + 8 when x = 2?

Answers

Answer:

16

Step-by-step explanation:

5x - x + 8

5(2) - 2 + 8

10 - 2 + 8

8 + 8

16

The answer is 16 I am sure

a number y divided by 6 is no more than 2​

Answers

Try 2 if i am wrong then please do correct me

Answer:

2

Step-by-step explanation:

A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300.
Represent the data on the quantity sold using using matrix.

Answers

Answer:

its latter A

Step-by-step explanation:

i hope its help

I need very urgent help with this

Answers

Answer:

-5, -2, -1, 2

Step-by-step explanation:

You can find the answer by trying the given possible answers out.

how many years will it.take 10,000 to grow 17,800 if it is invested at 2.50% compounded continuously

Answers

Answer:

just about 24 years

Step-by-step explanation:

The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900900 voters in the town and found that 377% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 344%. Testing at the 0.020.02 level, is there enough evidence to support the strategist's claim

Answers

Answer:

Hence, we fail to reject the null ;

There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%

Step-by-step explanation:

Given that :

Sample size, n = 900

p = 0.37

p0 = 0.34

H0 : p = 0.34

H1 : p > 0.34

Right tailed test:

Decision region:

Reject Null if ;

Zstatistic > Zcritical

Zcritical at α 0.02 = 2.05

Hence

Reject H0 : if Zstatistic > 2.05

Zstatistic = (p - p0) / sqrt((p0(1-p0))/n)

= (0.37 - 0.34) / sqrt((0.34(1-0.34))/900)

= 1.8999

1.8999 < 2.05

Zstatistic < Zcritical

Hence, we fail to reject the null ;

There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%

Help me pls I don't know what I'm doing ​

Answers

Answer:

B. 3.6

Step-by-step explanation:

I have no idea if this is right but my logic is 3.6 - 3.6 = 0

Answer:

B. 3.6

Step-by-step explanation:

The equation is

w - 3.6 = 0

That means start with some number. Then subtract 3.6 from that number. The result is 0. What number is it that when you subtract 3.6 from it you get 0? That number is 3.6 since 3.6 - 3.6 = 0. That means w, the unknown, must equal 3.6.

That is the explanation.

The way to solve the equation is to see what is being done to the unknown. The unknown here is w. On the left side, you see 3.6 being subtracted from w. In order to undo a subtraction, you must do the opposite operation which is an addition. In order to undo a subtraction of 3.6, you must add 3.6. The rule with equations is that you must do the same operation to both sides of the equation, so add 3.6 to both sides of the equation.

w - 3.6 = 0

Add 3.6 to both sides.

w - 3.6 + 3.6 = 0 + 3.6

w = 3.6

Answer: B. 3.6

if x=2, y=3 and z=1 then find the value of

1/2 x + 3/4 y

Answers

2+2=20200303040999op

1. You are baking cookies to bring to school for a bake sale. You have already finished 22 cookies, and you can bake 12 at a time on your cookie sheet. If you want to bake at least 100 cookies, how many more cookie sheets do you have to bake?

Answers

Answer:

pp

Step-by-step explanation:

pp

you need to bake 6 more sheets

A rectangle drawn on the coordinate plane has vertices (4, 4), (1, 8), (-7, 2) and (-4, -2). What is the area, in square units, of the rectangle?

Answers

the rectangular 4,5 is the answer

(x^8+2x^4+1)+(2x^4+x^2+1)

Answers

Your problem → (x^8+2x^4+1)+(2x^4+x^2+1)

(x^8+2x^4+1)+(2x^4+x^2+1)

=x^8 + 2x^4 + 1 + 2x^4 + x^2+1

=x^8+2x^4+2x^4+x^2+1+1

=x^8+4x^4+x^2+2

What is the distance between points (-2, -5) and (-14, 4) on the coordinate plane

•9
•12
•14
•15

Answers

Answer:

15 units

Step-by-step explanation:

[tex]distance formula =\sqrt{(x_{2} -x_{1} )^{2} + (y_2 -y1)^{2} } } \\[/tex]

[tex]x_{1} = -2\\x_{2} = -14\\y_{1} = -5\\y_{2} = 4[/tex]

[tex]distance\\= \sqrt{(-14 - -2)^{2} + (4 - -5)^2 } \\= \sqrt{(-12)^2 + (9)^2} \\= \sqrt{144 + 81} \\= \sqrt{225} \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units[/tex]

Hope it helps....

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